Topological invariants in a model of a time-delayed Chua's circuit

DOI10.1007/s11071-006-1942-4zbMath1101.37318OpenAlexW2090648759MaRDI QIDQ2432323

Sandra Vinagre, Ricardo Severino, O. M. Sharkovs'kyi, José Sousa Ramos

Publication date: 25 October 2006

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-006-1942-4

zbMATH Keywords

boundary value problemsdifference equationstopological invariantssymbolic dynamicsChua's circuitone-dimensional maps

Mathematics Subject Classification ID

Topological dynamics (37B99) Technical applications of optics and electromagnetic theory (78A55) Analytic circuit theory (94C05) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Dynamical systems involving maps of the interval (37E05)

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Substitution systems associated with the dynamical system (𝒜,T_f) ⋮ Introduction to nonlinear dynamics of electronic systems: tutorial ⋮ Conductance and noncommutative dynamical systems ⋮ The evolution and distribution of the periodic critical values of iterated differentiable functions ⋮ Iteration of differentiable functions under \(m\)-modal maps with aperiodic kneading sequences ⋮ Dynamics of a Certain Nonlinearly Perturbed Heat Equation ⋮ Topological invariants in nonlinear boundary value problems

Cites Work

• Sensitive dependence to initial conditions for one dimensional maps
• Entropy of piecewise monotone mappings
• IDEAL TURBULENCE IN AN IDEALIZED TIME-DELAYED CHUA’S CIRCUIT
• DRY TURBULENCE AND PERIOD-ADDING PHENOMENA FROM A 1-D MAP WITH TIME DELAY
• UNIVERSAL PHENOMENA IN SOME INFINITE-DIMENSIONAL DYNAMICAL SYSTEMS
• BIFURCATIONS OF ATTRACTING CYCLES FROM TIME-DELAYED CHUA’S CIRCUIT
• FROM BOUNDARY VALUE PROBLEMS TO DIFFERENCE EQUATIONS: A METHOD OF INVESTIGATION OF CHAOTIC VIBRATIONS
• Noncommutative topological dynamics
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